Airfoil shape for a compressor

ABSTRACT

An article of manufacture having a nominal airfoil profile substantially in accordance with Cartesian coordinate values of X, Y, and Z set forth in a scalable TABLE 1, wherein the Cartesian coordinate values of X, Y, and Z are non-dimensional values convertible to dimensional distances by multiplying the Cartesian coordinate values of X, Y, and Z by a number, and wherein X and Y are coordinates which, when connected by continuing arcs, define airfoil profile sections at each Z height, the airfoil profile sections at each Z height being joined with one another to form a complete airfoil shape.

RELATED APPLICATIONS

The present application is related to the following commonly assignedapplications: Ser. No. 14/845,337; Ser. No. 14/845,347; Ser. No.14/845,358; Ser. No. 14/845,347; Ser. No. 14/845,360; Ser. No.14/845,378; Ser. No. 14/845,388; Ser. No. 14/845,398; Ser. No.14/845,411; Ser. No. 14/845,421, filed concurrently herewith.

TECHNICAL FIELD

The present application and the resultant patent relate generally to gasturbine engines and more particularly relates to an airfoil profile orairfoil shape for use in a compressor.

BACKGROUND OF THE INVENTION

In a gas turbine engine, many system requirements should be met at eachstage of the flow path therethrough to meet design goals. These designgoals include, but are not limited to, overall improved efficiency, areduction in vibratory response, improved airfoil loading capability,and the like. For example, a compressor airfoil profile should achievethermal and mechanical operating requirements for a particular stage inthe compressor. Moreover, component lifetime, reliability, and costtargets also should be met.

SUMMARY OF THE INVENTION

According to one aspect of the present application, an article ofmanufacture is provided with a nominal airfoil profile substantially inaccordance with the Cartesian coordinate values of X, Y, and Z set forthin scalable TABLE 1, wherein the Cartesian coordinate values of X, Y,and Z are non-dimensional values convertible to dimensional distances bymultiplying the Cartesian coordinate values of X, Y, and Z by a number,and wherein X and Y are coordinates which, when connected by continuingarcs, define airfoil profile sections at each Z height, the airfoilprofile sections at each Z height being joined with one another to forma complete airfoil shape.

According to another aspect of the present application, an article ofmanufacture is provided with a suction-side nominal airfoil profilesubstantially in accordance with the suction-side Cartesian coordinatevalues of X, Y, and Z set forth in scalable TABLE 1, wherein theCartesian coordinate values of X, Y, and Z are non-dimensional valuesconvertible to dimensional distances by multiplying the Cartesiancoordinate values of X, Y, and Z by a number, and wherein X and Y arecoordinates which, when connected by continuing arcs, define airfoilprofile sections at each Z height, the airfoil profile sections at eachZ height being joined smoothly with one another to form a completesuction-side airfoil shape, the X, Y, and Z coordinate values beingscalable as a function of the number to provide at least one of anon-scaled, scaled-up, and scaled-down airfoil profile.

According to yet another aspect of the present application, a compressoris provided with a number of rotor blades, each of the rotor bladesincluding an airfoil having a suction-side airfoil shape, the airfoilhaving a nominal profile substantially in accordance with thesuction-side Cartesian coordinate values of X, Y, and Z set forth inscalable TABLE 1, wherein the Cartesian coordinate values of X, Y and Zare non-dimensional values convertible to dimensional distances bymultiplying the Cartesian coordinate values of X, Y, and Z by a number,and wherein X and Y are coordinates which, when connected by continuingarcs, define airfoil profile sections at each Z height, the airfoilprofile sections at each Z height being joined with one another to forma complete suction-side airfoil shape.

These and other features and improvements of the present application andthe resultant patent will become apparent to one of ordinary skill inthe art upon review of the following detailed description when taken inconjunction with the several drawings and the appended claims.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a schematic diagram of a gas turbine engine including acompressor, a combustor, a turbine, and a load.

FIG. 2 is a schematic diagram of a compressor with multiple stages and aflow path therethrough.

FIG. 3 is a perspective view of a rotor blade airfoil as may bedescribed herein.

FIG. 4 is a cross-sectional view of the rotor blade airfoil taken alongline 4-4 of FIG. 3.

DETAILED DESCRIPTION

Referring now to the drawings, in which like numerals refer to likeelements throughout the several views, FIG. 1 shows a schematic view ofgas turbine engine 10 as may be used herein. The gas turbine engine 10may include a compressor 15. The compressor 15 compresses an incomingflow of air 20. The compressor 15 delivers the compressed flow of air 20to a combustor 25. The combustor 25 mixes the compressed flow of air 20with a pressurized flow of fuel 30 and ignites the mixture to create aflow of combustion gases 35. Although only a single combustor 25 isshown, the gas turbine engine 10 may include any number of thecombustors 25 arranged in a circumferential array or otherwise. The flowof combustion gases 35 is delivered in turn to a turbine 40. The flow ofcombustion gases 35 drives the turbine 40 so as to produce mechanicalwork. The mechanical work produced in the turbine 40 drives thecompressor 15 via a shaft 45 and an external load 50 such as anelectrical generator and the like.

The gas turbine engine 10 may use natural gas, liquid fuels, varioustypes of syngas, and/or other types of fuels and blends thereof. The gasturbine engine 10 may be any one of a number of different gas turbineengines offered by General Electric Company of Schenectady, N.Y.,including, but not limited to, those such as a 7 or a 9 series heavyduty gas turbine engine and the like. The gas turbine engine 10 may havedifferent configurations and may use other types of components. Othertypes of gas turbine engines also may be used herein. Multiple gasturbine engines, other types of turbines, and other types of powergeneration equipment also may be used herein together.

FIG. 2 shows an example of the compressor 15. The compressor 15 mayinclude a number of compressor stages with an axial compressor flow path55 therethrough. As one non-limiting example only, the compressor flowpath 55 may include about eighteen rotor/stator stages. The exact numberof rotor and stator stages, however, may be a matter of engineeringdesign choice and may be more or less than the illustrated eighteenstages. It is to be understood that any number of rotor and statorstages may be provided herein.

Each stage of the compressor 15 may include a number ofcircumferentially spaced rotor blades 60 mounted on a rotor wheel 65 anda number of circumferentially spaced stator vanes 70 attached to astatic compressor case 75. Each of the rotor wheels 65 may be attachedto an aft drive shaft 80, which may be connected to the turbine sectionof the engine. The rotor blades and stator vanes may lie in the flowpath 55 of the compressor 15. The direction of airflow through thecompressor flow path 55 flows generally from left to right in FIG. 2.Other components and other configurations may be used herein.

The compressor rotor blades 60 impart kinetic energy to the airflow andtherefore bring about a desired pressure rise. Directly following therotor blades 60 may be a stage of the compressor stator vanes 70.However, in some designs the stator vanes may precede the rotor blades.Both the rotor blades and stator vanes turn the airflow, slow theairflow velocity (in the respective airfoil frame of reference), andyield a rise in the static pressure of the airflow. Typically, multiplerows of rotor/stator stages are arranged in axial flow compressors toachieve a desired discharge to inlet pressure ratio. Each rotor bladeand stator vane includes an airfoil, and these airfoils can be securedto rotor wheels or a stator case by an appropriate attachmentconfiguration, often known as a “root,” “base” or “dovetail”. Inaddition, the compressor 15 also may include inlet guide vanes (IGV's)85, variable stator vanes (VSV's) 90, and exit or exhaust guide vanes(EGV's) 95. All of these blades and vanes have airfoils that act on themedium (e.g., air) passing through the compressor flow path 55. Othercomponents and other configurations may be used herein.

The rotor blades 60 and stator vanes 70 are merely exemplary of thestages of the compressor 15 described herein. In addition, each rotorblade 60, stator vane 70, inlet guide vane 85, variable stator vane 90,and exit guide vane 95 may be considered an article of manufacture.Further, the article of manufacture may include a rotor blade configuredfor use with a compressor 15.

FIG. 3 shows an example of a rotor blade 100 as may be described herein.In this example, the rotor blade 100 includes an airfoil 105. Each ofthe rotor blades 100 may have an airfoil profile at any cross-sectionfrom an airfoil root 110 to an airfoil tip 120. The airfoil 105 mayconnect to a mounting base 130, which also may be referred to as adovetail. The mounting base 130 fits into a complementary shaped grooveor slot in the rotor or rotor wheel 65. Examples of the compressor 15may include a variety of blades 60 and vanes 70, 85, 90, 95 arranged inmultiple stages.

Referring to FIG. 4, the airfoil 105 may have a suction side 140 and apressure side 150. The suction side 140 may be located on the opposingside of the airfoil 105 from the pressure side 150. Thus, each rotorblade 60 may have an airfoil profile at any cross-section in the shapeof the airfoil 105. The airfoil 105 also may include a leading edge 160and a trailing edge 170 and with a chord length 180 extendingtherebetween. The root 110 of the airfoil 105 corresponds to the lowestnon-dimensional Z value of scalable TABLE 1. The tip 120 of the airfoil105 corresponds to the highest non-dimensional Z value of scalableTABLE 1. An airfoil 105 may extend beyond the compressor flowpath andmay be tipped to achieve the desired endwall clearances. By way ofexample only, the airfoil may have a height from about one (1) inch toabout twenty (20) inches (about 2.54 centimeters to about 50.8centimeters) or more. Any specific airfoil height may be used herein asdesired in a specific application. Other components and otherconfigurations may be used herein.

The compressor flow path 55 requires airfoils 105 that meet systemrequirements of aerodynamic and mechanical blade/vane loading andefficiency. For example, it is desirable that the airfoils 105 aredesigned to reduce the vibratory response or vibratory stress responseof the respective blades and/or vanes. Materials such as high strengthalloys, non-corrosive alloys, and/or stainless steels may be used in theblades and/or vanes. To define the airfoil shape of each blade airfoiland/or vane airfoil, there is a unique set or loci of points in spacethat meet the stage requirements and can be manufactured. These uniqueloci of points meet the requirements for stage efficiency and may bearrived at by iteration between aerodynamic and mechanical loadings soas to enable the turbine and compressor to run in an efficient, safe,reliable, and smooth manner. These points are unique and specific to thesystem. The locus that defines the airfoil profile includes a set ofpoints with X, Y, and Z coordinates relative to a reference origincoordinate system. The three-dimensional Cartesian coordinate system ofX, Y, and Z values given in scalable TABLE 1 below defines the profileof the rotor blade airfoil at various locations along its length. Thescalable TABLE 1 lists data for a non-coated airfoil. Theenvelope/tolerance for the coordinates may be about +/−5% of the chordlength 180 in a direction normal to any airfoil surface location orabout +/−0.25 inches (about 6.36 millimeters) in a direction normal toany airfoil surface location. However, tolerances of about +/−0.15inches to about +/−0.25 inches (about 6.36 millimeters), or about +/−3%to about +/−5% in a direction normal to an airfoil surface location mayalso be used, as desired in the specific application.

A point data origin 190 may be the mid-point of the suction or pressureside of the base or tip of the airfoil, the leading edge or trailingedge of the base of the airfoil, or any other suitable location asdesired. The coordinate values for the X, Y, and Z coordinates are setforth in non-dimensionalized units in scalable TABLE 1, although otherunits of dimensions may be used when the values are appropriatelyconverted. As one example only, the Cartesian coordinate values of X, Y,and Z may be convertible to dimensional distances by multiplying the X,Y, and Z values by a constant number (e.g., 100). The number, used toconvert the non-dimensional values to dimensional distances, may be afraction (e.g., ½, ¼, etc.), decimal fraction (e.g., 0.5, 1.5, 10.25,etc.), integer (e.g., 1, 2, 10, 100, etc.), a mixed number (e.g., 11/2,101/4, etc.), and the like. The dimensional distances may be in anysuitable format (e.g., inches, feet, millimeters, centimeters, meters,etc.) As one non-limiting example only, the Cartesian coordinate systemhas orthogonally-related X, Y, and Z axes and the X axis may liegenerally parallel to the compressor rotor centerline, i.e., the rotaryaxis and a positive X coordinate value is axial toward the aft, i.e.,exhaust end of the turbine. The positive Y coordinate value extendstangentially in the direction of rotation of the rotor and the positiveZ coordinate value is radially outwardly toward the rotor blade tip orstator vane base. All the values in scalable TABLE 1 are given at roomtemperature and are unfilleted.

By defining X and Y coordinate values at selected locations in a Zdirection (or height) normal to the X, Y plane, the profile section orairfoil shape of the airfoil, at each Z height along the length of theairfoil may be ascertained. By connecting the X and Y values with smoothcontinuing arcs, each profile section at each Z height may be fixed. Theairfoil profiles of the various surface locations between each Z heightmay be determined by smoothly connecting the adjacent profile sectionsto one another to form the airfoil profile.

The values in TABLE 1 may be generated and shown from zero to four ormore decimal places for determining the profile of the airfoil. As theairfoil heats up the associated stress and temperature may cause achange in the X, Y, and Z values. Accordingly, the values for theprofile given in TABLE 1 represent ambient, non-operating or non-hotconditions (e.g., room temperature) and may be for an uncoated airfoil.

There are typical manufacturing tolerances as well as optional coatingswhich may be accounted for in the actual profile of the airfoil. Eachsection may be joined smoothly with the other sections to form thecomplete airfoil shape. It will therefore be appreciated that +/−typical manufacturing tolerances, i.e., +/− values, including anycoating thicknesses, are additive to the X and Y values given in TABLE 1below. Accordingly, a distance of about +/−5% of chord length and/or+/−0.25 inches (about 6.36 millimeters) in a direction normal to asurface location along the airfoil profile defines an airfoil profileenvelope for this particular airfoil design and compressor, i.e., arange of variation between measured points on the actual airfoil surfaceat nominal cold or room temperature and the ideal position of thosepoints as given in the TABLE 1 below at the same temperature.Additionally, a distance of about +/−5% of a chord length in a directionnormal to an airfoil surface location along the airfoil profile also maydefine an airfoil profile envelope for this particular airfoil design.The data is scalable and the geometry pertains to all aerodynamicscales, at, above and/or below about 3,000 RPM. The rotor blade airfoildesign is robust to this range of variation without impairment ofmechanical and aerodynamic functions.

The coordinate values given in scalable TABLE 1 below provide thenominal profile for exemplary stages of a compressor rotor blade.Specifically, a fourth stage rotor blade of, for example, a 9HA.01compressor and the like:

TABLE 1 PRESSURE SIDE SUCTION SIDE X Y Z X Y Z −1.5286 2.1692 −0.33972.5271 −1.2104 −0.3397 −1.5276 2.1695 −0.3397 2.5248 −1.2189 −0.3397−1.5254 2.1701 −0.3397 2.5194 −1.2293 −0.3397 −1.5211 2.171 −0.33972.5093 −1.2398 −0.3397 −1.5123 2.1715 −0.3397 2.4935 −1.2472 −0.3397−1.4988 2.1695 −0.3397 2.47 −1.2478 −0.3397 −1.4759 2.1602 −0.33972.4393 −1.2463 −0.3397 −1.4488 2.1416 −0.3397 2.4009 −1.2443 −0.3397−1.4172 2.1118 −0.3397 2.3543 −1.2415 −0.3397 −1.3825 2.0702 −0.33972.2988 −1.2377 −0.3397 −1.342 2.0121 −0.3397 2.234 −1.2327 −0.3397−1.2987 1.9429 −0.3397 2.1575 −1.2257 −0.3397 −1.2534 1.8686 −0.33972.0694 −1.2164 −0.3397 −1.2022 1.785 −0.3397 1.9699 −1.204 −0.3397−1.145 1.6924 −0.3397 1.8591 −1.1881 −0.3397 −1.0811 1.5913 −0.33971.7371 −1.1678 −0.3397 −1.0125 1.4865 −0.3397 1.6041 −1.1422 −0.3397−0.9391 1.3785 −0.3397 1.4661 −1.1116 −0.3397 −0.8604 1.2677 −0.33971.323 −1.0753 −0.3397 −0.776 1.1542 −0.3397 1.1755 −1.0328 −0.3397−0.6857 1.0385 −0.3397 1.0246 −0.9837 −0.3397 −0.589 0.9208 −0.33970.8707 −0.9272 −0.3397 −0.486 0.802 −0.3397 0.7142 −0.8628 −0.3397−0.3765 0.6825 −0.3397 0.5553 −0.7896 −0.3397 −0.264 0.5663 −0.33970.3997 −0.7097 −0.3397 −0.1486 0.4534 −0.3397 0.2475 −0.6226 −0.3397−0.0301 0.3438 −0.3397 0.0988 −0.5279 −0.3397 0.0913 0.2375 −0.3397−0.0459 −0.4251 −0.3397 0.2152 0.1341 −0.3397 −0.185 −0.3157 −0.33970.3412 0.0329 −0.3397 −0.3182 −0.2005 −0.3397 0.4687 −0.0666 −0.3397−0.4459 −0.0801 −0.3397 0.5975 −0.1645 −0.3397 −0.5685 0.0454 −0.33970.728 −0.2607 −0.3397 −0.6857 0.176 −0.3397 0.8605 −0.3546 −0.3397−0.7973 0.312 −0.3397 0.9948 −0.4458 −0.3397 −0.9031 0.4536 −0.33971.1264 −0.5308 −0.3397 −0.9998 0.5954 −0.3397 1.2554 −0.6099 −0.3397−1.0871 0.7355 −0.3397 1.3816 −0.6831 −0.3397 −1.1656 0.8733 −0.33971.5049 −0.7505 −0.3397 −1.236 1.0084 −0.3397 1.6252 −0.8125 −0.3397−1.2989 1.1405 −0.3397 1.7422 −0.8693 −0.3397 −1.3549 1.2694 −0.33971.8554 −0.9211 −0.3397 −1.4045 1.3948 −0.3397 1.9598 −0.9662 −0.3397−1.4484 1.5164 −0.3397 2.0551 −1.005 −0.3397 −1.4851 1.6285 −0.33972.141 −1.0383 −0.3397 −1.5153 1.7306 −0.3397 2.2172 −1.0666 −0.3397−1.5398 1.8223 −0.3397 2.2836 −1.0902 −0.3397 −1.5606 1.9088 −0.33972.34 −1.1095 −0.3397 −1.574 1.9847 −0.3397 2.3883 −1.1256 −0.3397−1.5782 2.0437 −0.3397 2.4291 −1.1388 −0.3397 −1.575 2.091 −0.33972.4626 −1.1495 −0.3397 −1.5663 2.1255 −0.3397 2.4896 −1.1579 −0.3397−1.5541 2.1493 −0.3397 2.5094 −1.1664 −0.3397 −1.5441 2.1603 −0.33972.5207 −1.1785 −0.3397 −1.5363 2.1658 −0.3397 2.5262 −1.1911 −0.3397−1.532 2.1679 −0.3397 2.5277 −1.2021 −0.3397 −1.5298 2.1688 −0.3397−1.5805 2.0774 0 2.5345 −1.2191 0 −1.5794 2.0778 0 2.5321 −1.2274 0−1.5774 2.0785 0 2.5264 −1.2374 0 −1.5731 2.0796 0 2.5158 −1.2472 0−1.5644 2.0805 0 2.4998 −1.2535 0 −1.5509 2.079 0 2.4766 −1.2532 0−1.5279 2.0707 0 2.4464 −1.2511 0 −1.5003 2.0534 0 2.4087 −1.2484 0−1.4678 2.0251 0 2.3629 −1.2447 0 −1.4315 1.9852 0 2.3084 −1.2398 0−1.3889 1.9294 0 2.2448 −1.2335 0 −1.3428 1.8629 0 2.1696 −1.2252 0−1.2942 1.7915 0 2.0831 −1.2143 0 −1.2395 1.7112 0 1.9854 −1.2003 0−1.1783 1.6223 0 1.8767 −1.1826 0 −1.1101 1.5251 0 1.757 −1.1604 0−1.0375 1.4244 0 1.6265 −1.133 0 −0.9601 1.3206 0 1.491 −1.1008 0−0.8774 1.214 0 1.3507 −1.0632 0 −0.7892 1.1051 0 1.2061 −1.0197 0−0.6954 0.9941 0 1.058 −0.97 0 −0.5955 0.8813 0 0.907 −0.9135 0 −0.48930.7669 0 0.7531 −0.8496 0 −0.3764 0.6512 0 0.5967 −0.7778 0 −0.26060.5382 0 0.4434 −0.6998 0 −0.1421 0.4281 0 0.2931 −0.6156 0 −0.02110.3212 0 0.1461 −0.5245 0 0.1024 0.2174 0 0.0027 −0.4263 0 0.228 0.11630 −0.1369 −0.321 0 0.3552 0.0172 0 −0.2711 −0.2103 0 0.4837 −0.0804 0−0.4004 −0.0947 0 0.6134 −0.1765 0 −0.5248 0.0253 0 0.7444 −0.2709 0−0.6444 0.1499 0 0.877 −0.3632 0 −0.759 0.2792 0 1.0113 −0.4529 0−0.8684 0.4135 0 1.1428 −0.5369 0 −0.9692 0.548 0 1.2714 −0.6151 0−1.0618 0.6822 0 1.3971 −0.6878 0 −1.1464 0.8151 0 1.5198 −0.755 0−1.2232 0.9458 0 1.6394 −0.817 0 −1.2927 1.074 0 1.7555 −0.8739 0−1.3553 1.1993 0 1.8679 −0.9261 0 −1.4115 1.3212 0 1.9715 −0.9716 0−1.4618 1.4394 0 2.066 −1.0111 0 −1.5045 1.548 0 2.1512 −1.0449 0−1.5402 1.6469 0 2.2267 −1.0738 0 −1.5696 1.7355 0 2.2925 −1.098 0−1.595 1.8194 0 2.3484 −1.1178 0 −1.6127 1.8931 0 2.3963 −1.1344 0−1.6205 1.9509 0 2.4366 −1.1481 0 −1.6205 1.9975 0 2.4699 −1.1591 0−1.6145 2.032 0 2.4966 −1.1677 0 −1.6041 2.0562 0 2.5165 −1.176 0−1.5951 2.0677 0 2.528 −1.1876 0 −1.5878 2.0736 0 2.5337 −1.2 0 −1.58372.076 0 2.5352 −1.2108 0 −1.5816 2.077 0 −1.6593 1.9293 0.5648 2.546−1.2375 0.5648 −1.6583 1.9298 0.5648 2.5433 −1.2455 0.5648 −1.65631.9307 0.5648 2.5373 −1.2551 0.5648 −1.6522 1.9321 0.5648 2.5265 −1.26420.5648 −1.6436 1.9337 0.5648 2.5104 −1.2695 0.5648 −1.6301 1.9332 0.56482.4877 −1.2679 0.5648 −1.6068 1.9264 0.5648 2.4583 −1.2645 0.5648−1.5783 1.911 0.5648 2.4215 −1.26 0.5648 −1.5441 1.8852 0.5648 2.3769−1.2543 0.5648 −1.5052 1.8483 0.5648 2.3238 −1.247 0.5648 −1.4587 1.79630.5648 2.2618 −1.238 0.5648 −1.4077 1.7342 0.5648 2.1886 −1.2266 0.5648−1.3538 1.6675 0.5648 2.1044 −1.2126 0.5648 −1.2931 1.5925 0.5648 2.0092−1.1953 0.5648 −1.2254 1.5094 0.5648 1.9032 −1.1741 0.5648 −1.15021.4186 0.5648 1.7866 −1.1486 0.5648 −1.0707 1.3244 0.5648 1.6595 −1.1180.5648 −0.9864 1.2272 0.5648 1.5276 −1.083 0.5648 −0.8972 1.1273 0.56481.3909 −1.0433 0.5648 −0.8027 1.025 0.5648 1.25 −0.9983 0.5648 −0.70280.9206 0.5648 1.1056 −0.9478 0.5648 −0.5973 0.8142 0.5648 0.9579 −0.89130.5648 −0.4859 0.7061 0.5648 0.8073 −0.8283 0.5648 −0.3684 0.5966 0.56480.6541 −0.7582 0.5648 −0.2487 0.4893 0.5648 0.5035 −0.6829 0.5648−0.1271 0.3846 0.5648 0.3557 −0.6022 0.5648 −0.0034 0.2825 0.5648 0.2108−0.5157 0.5648 0.1221 0.183 0.5648 0.069 −0.4232 0.5648 0.2493 0.08560.5648 −0.0696 −0.3245 0.5648 0.3776 −0.0104 0.5648 −0.2052 −0.21980.5648 0.5068 −0.1051 0.5648 −0.3367 −0.1106 0.5648 0.6369 −0.19850.5648 −0.4641 0.0025 0.5648 0.7683 −0.2904 0.5648 −0.5874 0.1192 0.56480.9011 −0.3803 0.5648 −0.7066 0.2398 0.5648 1.0356 −0.468 0.5648 −0.82150.3644 0.5648 1.1672 −0.5502 0.5648 −0.9284 0.4886 0.5648 1.2957 −0.62710.5648 −1.0277 0.6121 0.5648 1.421 −0.6987 0.5648 −1.1198 0.7346 0.56481.5431 −0.7653 0.5648 −1.205 0.8557 0.5648 1.6617 −0.827 0.5648 −1.28370.9752 0.5648 1.7769 −0.8841 0.5648 −1.3558 1.092 0.5648 1.8882 −0.93660.5648 −1.4216 1.206 0.5648 1.9907 −0.9828 0.5648 −1.4814 1.3169 0.56482.0841 −1.0231 0.5648 −1.533 1.419 0.5648 2.1682 −1.058 0.5648 −1.57711.5122 0.5648 2.2428 −1.0879 0.5648 −1.614 1.596 0.5648 2.3077 −1.1130.5648 −1.6464 1.6755 0.5648 2.3629 −1.1336 0.5648 −1.6706 1.7459 0.56482.4101 −1.151 0.5648 −1.6839 1.8015 0.5648 2.45 −1.1653 0.5648 −1.68881.8469 0.5648 2.4828 −1.1769 0.5648 −1.6869 1.8813 0.5648 2.509 −1.18620.5648 −1.6798 1.906 0.5648 2.5288 −1.1944 0.5648 −1.6724 1.9183 0.56482.5402 −1.206 0.5648 −1.666 1.9249 0.5648 2.5457 −1.2185 0.5648 −1.66231.9276 0.5648 2.5469 −1.2293 0.5648 −1.6603 1.9288 0.5648 −1.6919 1.84430.942 2.5479 −1.2716 0.942 −1.6909 1.8449 0.942 2.5449 −1.2794 0.942−1.689 1.8459 0.942 2.5386 −1.2887 0.942 −1.685 1.8475 0.942 2.5276−1.2972 0.942 −1.6765 1.8496 0.942 2.5115 −1.3018 0.942 −1.6631 1.84970.942 2.4891 −1.2993 0.942 −1.6395 1.8441 0.942 2.4602 −1.2948 0.942−1.6104 1.8302 0.942 2.424 −1.289 0.942 −1.5752 1.8061 0.942 2.3801−1.2816 0.942 −1.5347 1.771 0.942 2.328 −1.2725 0.942 −1.486 1.72140.942 2.267 −1.2613 0.942 −1.4324 1.6619 0.942 2.1951 −1.2476 0.942−1.3757 1.598 0.942 2.1122 −1.2309 0.942 −1.312 1.526 0.942 2.0187−1.2109 0.942 −1.241 1.4462 0.942 1.9145 −1.1871 0.942 −1.1623 1.35880.942 1.7998 −1.1587 0.942 −1.0794 1.2682 0.942 1.6748 −1.1254 0.942−0.9919 1.1745 0.942 1.545 −1.088 0.942 −0.8995 1.0781 0.942 1.4106−1.0462 0.942 −0.8022 0.9792 0.942 1.272 −0.9995 0.942 −0.6996 0.8780.942 1.1298 −0.9477 0.942 −0.5916 0.7747 0.942 0.9841 −0.8904 0.942−0.478 0.6695 0.942 0.8352 −0.8269 0.942 −0.3585 0.5628 0.942 0.6835−0.7569 0.942 −0.2373 0.4582 0.942 0.5341 −0.6821 0.942 −0.1144 0.35580.942 0.3872 −0.6024 0.942 0.0104 0.2558 0.942 0.243 −0.5175 0.9420.1367 0.158 0.942 0.1016 −0.427 0.942 0.2644 0.062 0.942 −0.037 −0.33070.942 0.393 −0.0328 0.942 −0.1725 −0.2291 0.942 0.5224 −0.1265 0.942−0.3042 −0.1233 0.942 0.6526 −0.2192 0.942 −0.4322 −0.014 0.942 0.7839−0.3103 0.942 −0.5566 0.0987 0.942 0.9166 −0.3997 0.942 −0.6774 0.21490.942 1.0508 −0.487 0.942 −0.7944 0.3347 0.942 1.182 −0.5691 0.942−0.9039 0.4541 0.942 1.3099 −0.646 0.942 −1.0062 0.5726 0.942 1.4345−0.718 0.942 −1.1016 0.6899 0.942 1.5558 −0.7851 0.942 −1.1905 0.80580.942 1.6736 −0.8476 0.942 −1.2731 0.9201 0.942 1.7878 −0.9057 0.942−1.3496 1.0322 0.942 1.8981 −0.9595 0.942 −1.4199 1.1417 0.942 1.9997−1.0069 0.942 −1.4843 1.2483 0.942 2.0921 −1.0487 0.942 −1.5402 1.34670.942 2.1753 −1.085 0.942 −1.5883 1.4365 0.942 2.249 −1.1161 0.942−1.6291 1.5174 0.942 2.3133 −1.1424 0.942 −1.6651 1.5943 0.942 2.3678−1.1642 0.942 −1.6925 1.6625 0.942 2.4146 −1.1825 0.942 −1.7087 1.71670.942 2.4539 −1.1977 0.942 −1.7161 1.7612 0.942 2.4863 −1.21 0.942−1.7161 1.7952 0.942 2.5123 −1.2199 0.942 −1.7107 1.8201 0.942 2.5318−1.2284 0.942 −1.7042 1.8327 0.942 2.543 −1.2402 0.942 −1.6982 1.83960.942 2.5481 −1.2527 0.942 −1.6947 1.8425 0.942 2.5491 −1.2634 0.942−1.6928 1.8437 0.942 −1.7033 1.7801 1.3193 2.5396 −1.3363 1.3193 −1.70241.7807 1.3193 2.5364 −1.344 1.3193 −1.7005 1.7818 1.3193 2.5297 −1.35291.3193 −1.6966 1.7836 1.3193 2.5183 −1.3608 1.3193 −1.6883 1.7859 1.31932.5021 −1.3644 1.3193 −1.6748 1.7866 1.3193 2.4801 −1.3608 1.3193−1.6511 1.7818 1.3193 2.4516 −1.355 1.3193 −1.6216 1.7689 1.3193 2.416−1.3476 1.3193 −1.5857 1.7461 1.3193 2.3728 −1.3383 1.3193 −1.54421.7123 1.3193 2.3215 −1.3269 1.3193 −1.4942 1.6642 1.3193 2.2616 −1.31321.3193 −1.4389 1.6065 1.3193 2.1909 −1.2966 1.3193 −1.3804 1.5444 1.31932.1094 −1.2766 1.3193 −1.3146 1.4745 1.3193 2.0175 −1.2531 1.3193−1.2414 1.3969 1.3193 1.915 −1.2255 1.3193 −1.1606 1.3118 1.3193 1.8022−1.1934 1.3193 −1.0756 1.2234 1.3193 1.6793 −1.1562 1.3193 −0.986 1.1321.3193 1.5517 −1.1152 1.3193 −0.8918 1.0376 1.3193 1.4195 −1.0699 1.3193−0.7928 0.9407 1.3193 1.2832 −1.0202 1.3193 −0.6887 0.8413 1.3193 1.1431−0.9657 1.3193 −0.5793 0.7398 1.3193 0.9994 −0.906 1.3193 −0.4645 0.63621.3193 0.8523 −0.8407 1.3193 −0.3441 0.5309 1.3193 0.7022 −0.7691 1.3193−0.2221 0.4276 1.3193 0.5542 −0.6933 1.3193 −0.0986 0.3263 1.3193 0.4084−0.6131 1.3193 0.0265 0.2271 1.3193 0.265 −0.5281 1.3193 0.153 0.12981.3193 0.1242 −0.4379 1.3193 0.2807 0.034 1.3193 −0.0138 −0.3424 1.31930.4091 −0.0608 1.3193 −0.1486 −0.2422 1.3193 0.5381 −0.1547 1.3193−0.2795 −0.1384 1.3193 0.6679 −0.2478 1.3193 −0.4072 −0.0313 1.31930.7986 −0.3395 1.3193 −0.5316 0.079 1.3193 0.9305 −0.4297 1.3193 −0.65270.1925 1.3193 1.0638 −0.518 1.3193 −0.7705 0.3093 1.3193 1.1938 −0.60141.3193 −0.8811 0.4255 1.3193 1.3205 −0.68 1.3193 −0.9848 0.5407 1.31931.4438 −0.7538 1.3193 −1.0819 0.6546 1.3193 1.5637 −0.8231 1.3193−1.1727 0.767 1.3193 1.6801 −0.8878 1.3193 −1.2574 0.8776 1.3193 1.7928−0.9484 1.3193 −1.3363 0.9863 1.3193 1.9016 −1.0048 1.3193 −1.40941.0927 1.3193 2.0017 −1.0549 1.3193 −1.4766 1.1962 1.3193 2.0927 −1.09921.3193 −1.5354 1.2919 1.3193 2.1746 −1.1379 1.3193 −1.5861 1.3793 1.31932.2473 −1.1714 1.3193 −1.6293 1.4581 1.3193 2.3105 −1.1998 1.3193−1.6676 1.5331 1.3193 2.3642 −1.2234 1.3193 −1.6972 1.5998 1.3193 2.4102−1.2432 1.3193 −1.715 1.6529 1.3193 2.4489 −1.2598 1.3193 −1.724 1.69681.3193 2.4808 −1.2733 1.3193 −1.7254 1.7305 1.3193 2.5064 −1.284 1.3193−1.721 1.7553 1.3193 2.5256 −1.2933 1.3193 −1.7151 1.7681 1.3193 2.5361−1.3052 1.3193 −1.7095 1.7751 1.3193 2.5407 −1.3178 1.3193 −1.70611.7782 1.3193 2.5412 −1.3284 1.3193 −1.7043 1.7795 1.3193 −1.696 1.74351.6964 2.5184 −1.4264 1.6964 −1.6951 1.7441 1.6964 2.5148 −1.4338 1.6964−1.6932 1.7452 1.6964 2.5077 −1.4423 1.6964 −1.6893 1.7471 1.6964 2.496−1.4495 1.6964 −1.681 1.7495 1.6964 2.4797 −1.4521 1.6964 −1.6675 1.75031.6964 2.4581 −1.4472 1.6964 −1.6437 1.7456 1.6964 2.4301 −1.44 1.6964−1.6141 1.7329 1.6964 2.3952 −1.4308 1.6964 −1.578 1.7103 1.6964 2.3528−1.4194 1.6964 −1.5362 1.6769 1.6964 2.3025 −1.4055 1.6964 −1.48571.6294 1.6964 2.2437 −1.389 1.6964 −1.4298 1.5722 1.6964 2.1743 −1.3691.6964 −1.3706 1.5107 1.6964 2.0944 −1.3454 1.6964 −1.3041 1.4415 1.69642.0042 −1.3178 1.6964 −1.2302 1.3647 1.6964 1.9037 −1.2858 1.6964−1.1486 1.2804 1.6964 1.7931 −1.2491 1.6964 −1.0627 1.1928 1.6964 1.6725−1.2073 1.6964 −0.9725 1.102 1.6964 1.5473 −1.1616 1.6964 −0.8777 1.00841.6964 1.4177 −1.112 1.6964 −0.7781 0.912 1.6964 1.284 −1.0581 1.6964−0.6736 0.8131 1.6964 1.1466 −0.9998 1.6964 −0.5639 0.7118 1.6964 1.0057−0.9366 1.6964 −0.4489 0.6085 1.6964 0.8615 −0.8682 1.6964 −0.32840.5033 1.6964 0.7143 −0.7941 1.6964 −0.2065 0.3999 1.6964 0.5691 −0.71631.6964 −0.0831 0.2984 1.6964 0.4262 −0.6348 1.6964 0.0417 0.1988 1.69640.2857 −0.5492 1.6964 0.1678 0.1007 1.6964 0.1479 −0.459 1.6964 0.29480.0039 1.6964 0.0127 −0.3643 1.6964 0.4224 −0.0921 1.6964 −0.1199 −0.2651.6964 0.5505 −0.1876 1.6964 −0.25 −0.1616 1.6964 0.6791 −0.2824 1.6964−0.3779 −0.0544 1.6964 0.8085 −0.3762 1.6964 −0.5032 0.0562 1.6964 0.939−0.4685 1.6964 −0.6256 0.1699 1.6964 1.0704 −0.5593 1.6964 −0.74470.2869 1.6964 1.1986 −0.6455 1.6964 −0.8569 0.4031 1.6964 1.3233 −0.7271.6964 −0.9623 0.5183 1.6964 1.4447 −0.8041 1.6964 −1.061 0.6318 1.69641.5626 −0.8767 1.6964 −1.1532 0.7435 1.6964 1.677 −0.945 1.6964 −1.23930.8532 1.6964 1.7876 −1.0092 1.6964 −1.3192 0.9604 1.6964 1.8944 −1.06931.6964 −1.3932 1.0651 1.6964 1.9926 −1.123 1.6964 −1.4615 1.167 1.69642.0818 −1.1707 1.6964 −1.5213 1.2612 1.6964 2.1621 −1.2127 1.6964 −1.5731.3472 1.6964 2.2333 −1.2491 1.6964 −1.6171 1.4248 1.6964 2.2953 −1.28011.6964 −1.6563 1.4986 1.6964 2.3479 −1.306 1.6964 −1.6866 1.5645 1.69642.3929 −1.3279 1.6964 −1.7052 1.617 1.6964 2.4308 −1.3462 1.6964 −1.71481.6604 1.6964 2.4621 −1.3611 1.6964 −1.7168 1.6939 1.6964 2.4871 −1.3731.6964 −1.7129 1.7186 1.6964 2.506 −1.3828 1.6964 −1.7073 1.7314 1.69642.5162 −1.3951 1.6964 −1.7019 1.7385 1.6964 2.5203 −1.4078 1.6964−1.6987 1.7415 1.6964 2.5203 −1.4185 1.6964 −1.6969 1.7429 1.6964−1.6764 1.7282 2.0737 2.4842 −1.5344 2.0737 −1.6754 1.7288 2.0737 2.4802−1.5416 2.0737 −1.6736 1.7299 2.0737 2.4726 −1.5496 2.0737 −1.66961.7318 2.0737 2.4605 −1.556 2.0737 −1.6613 1.7341 2.0737 2.4442 −1.55742.0737 −1.6478 1.7347 2.0737 2.4229 −1.5511 2.0737 −1.6241 1.7297 2.07372.3955 −1.5422 2.0737 −1.5946 1.7166 2.0737 2.3613 −1.531 2.0737 −1.55861.6936 2.0737 2.3198 −1.5172 2.0737 −1.5169 1.6599 2.0737 2.2704 −1.50052.0737 −1.4665 1.6122 2.0737 2.2128 −1.4808 2.0737 −1.4107 1.5548 2.07372.1448 −1.457 2.0737 −1.3515 1.4932 2.0737 2.0665 −1.4291 2.0737 −1.28511.4238 2.0737 1.9781 −1.3968 2.0737 −1.2113 1.3467 2.0737 1.8796 −1.35982.0737 −1.1297 1.2622 2.0737 1.7712 −1.3177 2.0737 −1.0439 1.1744 2.07371.6531 −1.2702 2.0737 −0.9537 1.0835 2.0737 1.5304 −1.2189 2.0737−0.8589 0.9896 2.0737 1.4034 −1.1638 2.0737 −0.7593 0.8929 2.0737 1.2723−1.1046 2.0737 −0.6549 0.7936 2.0737 1.1376 −1.0412 2.0737 −0.54550.6919 2.0737 0.9992 −0.9732 2.0737 −0.4308 0.5879 2.0737 0.8576 −0.90032.0737 −0.3109 0.4819 2.0737 0.713 −0.8219 2.0737 −0.1897 0.3774 2.07370.5703 −0.7404 2.0737 −0.0672 0.2746 2.0737 0.4298 −0.6557 2.0737 0.05670.1735 2.0737 0.2916 −0.5673 2.0737 0.1818 0.0739 2.0737 0.156 −0.47512.0737 0.3077 −0.0248 2.0737 0.023 −0.3787 2.0737 0.434 −0.123 2.0737−0.1074 −0.2783 2.0737 0.5605 −0.2209 2.0737 −0.2354 −0.1741 2.07370.6874 −0.3183 2.0737 −0.3612 −0.0666 2.0737 0.8149 −0.4151 2.0737−0.4849 0.0442 2.0737 0.943 −0.5108 2.0737 −0.6063 0.1585 2.0737 1.072−0.6053 2.0737 −0.7248 0.2758 2.0737 1.1977 −0.6954 2.0737 −0.8365 0.3922.0737 1.3199 −0.7811 2.0737 −0.9415 0.5069 2.0737 1.4387 −0.8624 2.0737−1.04 0.6202 2.0737 1.5539 −0.9395 2.0737 −1.1322 0.7315 2.0737 1.6656−1.0125 2.0737 −1.2182 0.8408 2.0737 1.7735 −1.0813 2.0737 −1.29820.9476 2.0737 1.8776 −1.1461 2.0737 −1.3722 1.052 2.0737 1.9733 −1.20432.0737 −1.4405 1.1535 2.0737 2.0604 −1.2562 2.0737 −1.5003 1.2473 2.07372.1386 −1.3021 2.0737 −1.5521 1.333 2.0737 2.208 −1.342 2.0737 −1.59621.4103 2.0737 2.2683 −1.3762 2.0737 −1.6355 1.4839 2.0737 2.3195 −1.40492.0737 −1.666 1.5495 2.0737 2.3634 −1.4292 2.0737 −1.6847 1.6019 2.07372.4003 −1.4495 2.0737 −1.6945 1.6452 2.0737 2.4307 −1.4662 2.0737−1.6968 1.6785 2.0737 2.4551 −1.4794 2.0737 −1.6931 1.7032 2.0737 2.4735−1.4901 2.0737 −1.6876 1.716 2.0737 2.4835 −1.5027 2.0737 −1.6823 1.72322.0737 2.4871 −1.5158 2.0737 −1.6791 1.7262 2.0737 2.4866 −1.5266 2.0737−1.6773 1.7276 2.0737 −1.6148 1.7416 2.8282 2.3808 −1.7714 2.8282−1.6139 1.7422 2.8282 2.3758 −1.778 2.8282 −1.612 1.7432 2.8282 2.3672−1.7848 2.8282 −1.608 1.745 2.8282 2.3543 −1.7893 2.8282 −1.5996 1.74712.8282 2.3379 −1.7879 2.8282 −1.586 1.7472 2.8282 2.3179 −1.7786 2.8282−1.5624 1.7413 2.8282 2.292 −1.7662 2.8282 −1.5333 1.7273 2.8282 2.2596−1.7506 2.8282 −1.4977 1.7032 2.8282 2.2203 −1.7316 2.8282 −1.45661.6685 2.8282 2.1736 −1.7089 2.8282 −1.4069 1.6197 2.8282 2.1189 −1.68222.8282 −1.3518 1.5612 2.8282 2.0545 −1.6505 2.8282 −1.2934 1.4983 2.82821.9803 −1.6136 2.8282 −1.2279 1.4275 2.8282 1.8964 −1.5713 2.8282 −1.1551.349 2.8282 1.8029 −1.5236 2.8282 −1.0743 1.2629 2.8282 1.6999 −1.472.8282 −0.9896 1.1734 2.8282 1.5877 −1.4104 2.8282 −0.9005 1.0806 2.82821.4711 −1.3472 2.8282 −0.8069 0.9848 2.8282 1.3503 −1.2803 2.8282−0.7088 0.8859 2.8282 1.2255 −1.2097 2.8282 −0.606 0.784 2.8282 1.0968−1.1352 2.8282 −0.4986 0.6792 2.8282 0.9645 −1.0565 2.8282 −0.38650.5716 2.8282 0.8289 −0.9731 2.8282 −0.2696 0.4613 2.8282 0.6903 −0.88472.8282 −0.1516 0.3522 2.8282 0.5535 −0.7941 2.8282 −0.0326 0.2443 2.82820.4186 −0.701 2.8282 0.0877 0.1378 2.8282 0.2859 −0.6052 2.8282 0.2090.0324 2.8282 0.1556 −0.5062 2.8282 0.331 −0.0721 2.8282 0.0281 −0.40382.8282 0.4532 −0.1765 2.8282 −0.0968 −0.2979 2.8282 0.5753 −0.28112.8282 −0.2193 −0.1891 2.8282 0.6972 −0.3857 2.8282 −0.3396 −0.07742.8282 0.8192 −0.4904 2.8282 −0.4577 0.037 2.8282 0.9413 −0.5948 2.8282−0.5738 0.1541 2.8282 1.0639 −0.6988 2.8282 −0.6876 0.2739 2.8282 1.1829−0.7986 2.8282 −0.7957 0.3924 2.8282 1.2984 −0.8943 2.8282 −0.898 0.50932.8282 1.4104 −0.9859 2.8282 −0.9944 0.6243 2.8282 1.5186 −1.0735 2.8282−1.0847 0.7371 2.8282 1.6233 −1.1571 2.8282 −1.169 0.8476 2.8282 1.7242−1.2367 2.8282 −1.2474 0.9557 2.8282 1.8215 −1.3124 2.8282 −1.31971.0611 2.8282 1.9107 −1.381 2.8282 −1.3865 1.1636 2.8282 1.9918 −1.44252.8282 −1.4449 1.2583 2.8282 2.0646 −1.4972 2.8282 −1.4954 1.3447 2.82822.1291 −1.5452 2.8282 −1.5383 1.4227 2.8282 2.185 −1.5866 2.8282 −1.57661.4967 2.8282 2.2325 −1.6216 2.8282 −1.6063 1.5627 2.8282 2.2731 −1.65142.8282 −1.6244 1.6152 2.8282 2.3073 −1.6764 2.8282 −1.6338 1.6587 2.82822.3354 −1.6969 2.8282 −1.6357 1.692 2.8282 2.3579 −1.7133 2.8282 −1.63181.7167 2.8282 2.375 −1.7262 2.8282 −1.6262 1.7295 2.8282 2.3837 −1.73982.8282 −1.6208 1.7365 2.8282 2.3859 −1.7532 2.8282 −1.6175 1.7396 2.82822.3841 −1.7639 2.8282 −1.6158 1.7409 2.8282 −1.5265 1.7991 3.5826 2.245−2.0025 3.5826 −1.5256 1.7996 3.5826 2.2393 −2.0084 3.5826 −1.52371.8007 3.5826 2.2299 −2.0141 3.5826 −1.5196 1.8023 3.5826 2.2164 −2.01663.5826 −1.511 1.8041 3.5826 2.2005 −2.0126 3.5826 −1.4974 1.8037 3.58262.1818 −2.0007 3.5826 −1.4739 1.7967 3.5826 2.1577 −1.9852 3.5826−1.4452 1.7815 3.5826 2.1275 −1.9657 3.5826 −1.4102 1.7561 3.5826 2.0908−1.9421 3.5826 −1.3699 1.72 3.5826 2.0472 −1.914 3.5826 −1.3212 1.66963.5826 1.9961 −1.8811 3.5826 −1.2674 1.6094 3.5826 1.9359 −1.8422 3.5826−1.2104 1.5446 3.5826 1.8664 −1.7971 3.5826 −1.1466 1.4716 3.5826 1.7877−1.7458 3.5826 −1.0757 1.3904 3.5826 1.7 −1.6884 3.5826 −0.9976 1.30123.5826 1.6032 −1.6245 3.5826 −0.9156 1.2083 3.5826 1.4974 −1.5542 3.5826−0.8295 1.1117 3.5826 1.3874 −1.4803 3.5826 −0.7393 1.0116 3.5826 1.2733−1.4027 3.5826 −0.645 0.908 3.5826 1.1552 −1.3214 3.5826 −0.5466 0.80093.5826 1.0334 −1.236 3.5826 −0.4439 0.6904 3.5826 0.908 −1.1465 3.5826−0.3369 0.5766 3.5826 0.7793 −1.0524 3.5826 −0.2254 0.4595 3.5826 0.6476−0.9535 3.5826 −0.1131 0.3433 3.5826 0.5176 −0.8526 3.5826 0.0002 0.2283.5826 0.3896 −0.7497 3.5826 0.1146 0.1137 3.5826 0.2638 −0.6442 3.58260.2299 0.0004 3.5826 0.1406 −0.5359 3.5826 0.3458 −0.1124 3.5826 0.0201−0.4246 3.5826 0.4616 −0.2253 3.5826 −0.0977 −0.3103 3.5826 0.577−0.3385 3.5826 −0.2132 −0.1934 3.5826 0.6921 −0.4521 3.5826 −0.3266−0.0742 3.5826 0.8069 −0.5661 3.5826 −0.438 0.0472 3.5826 0.9216 −0.68013.5826 −0.5473 0.1708 3.5826 1.0362 −0.7941 3.5826 −0.6546 0.2968 3.58261.1473 −0.9042 3.5826 −0.7564 0.4207 3.5826 1.2547 −1.0102 3.5826−0.8527 0.5425 3.5826 1.3587 −1.1121 3.5826 −0.9436 0.6617 3.5826 1.459−1.2099 3.5826 −1.0288 0.7782 3.5826 1.5558 −1.3036 3.5826 −1.10850.8918 3.5826 1.6491 −1.3933 3.5826 −1.1825 1.0026 3.5826 1.7386 −1.47913.5826 −1.2509 1.1104 3.5826 1.8206 −1.5571 3.5826 −1.3139 1.215 3.58261.8949 −1.6276 3.5826 −1.3691 1.3114 3.5826 1.9615 −1.6905 3.5826−1.4167 1.3993 3.5826 2.0203 −1.7461 3.5826 −1.4572 1.4783 3.5826 2.0713−1.7942 3.5826 −1.4933 1.5534 3.5826 2.1144 −1.8349 3.5826 −1.521 1.62013.5826 2.1513 −1.8696 3.5826 −1.5378 1.673 3.5826 2.1823 −1.8988 3.5826−1.5463 1.7165 3.5826 2.2078 −1.9228 3.5826 −1.5478 1.7498 3.5826 2.2282−1.942 3.5826 −1.5438 1.7744 3.5826 2.2438 −1.9569 3.5826 −1.5381 1.78713.5826 2.2513 −1.9713 3.5826 −1.5327 1.7941 3.5826 2.2522 −1.9849 3.5826−1.5293 1.7971 3.5826 2.2492 −1.9954 3.5826 −1.5275 1.7985 3.5826−1.4339 1.8514 4.3372 2.1061 −2.2124 4.3372 −1.433 1.852 4.3372 2.0997−2.2177 4.3372 −1.431 1.8529 4.3372 2.0897 −2.2222 4.3372 −1.4269 1.85454.3372 2.076 −2.2229 4.3372 −1.4181 1.8559 4.3372 2.0609 −2.2166 4.3372−1.4044 1.8547 4.3372 2.0437 −2.2027 4.3372 −1.3812 1.8466 4.3372 2.0214−2.1847 4.3372 −1.353 1.83 4.3372 1.9934 −2.1622 4.3372 −1.3188 1.80314.3372 1.9595 −2.1348 4.3372 −1.2796 1.7654 4.3372 1.9191 −2.1023 4.3372−1.2323 1.7131 4.3372 1.8717 −2.0642 4.3372 −1.1798 1.651 4.3372 1.8158−2.0193 4.3372 −1.1245 1.5841 4.3372 1.7513 −1.9674 4.3372 −1.06271.5086 4.3372 1.6783 −1.9085 4.3372 −0.9942 1.4244 4.3372 1.5967 −1.84264.3372 −0.919 1.3319 4.3372 1.5065 −1.7698 4.3372 −0.8402 1.2351 4.33721.4079 −1.6898 4.3372 −0.7578 1.1344 4.3372 1.3052 −1.6062 4.3372−0.6717 1.0296 4.3372 1.1985 −1.5187 4.3372 −0.5819 0.9209 4.3372 1.088−1.4273 4.3372 −0.4882 0.8084 4.3372 0.9737 −1.3319 4.3372 −0.39060.6921 4.3372 0.856 −1.2322 4.3372 −0.2889 0.5721 4.3372 0.7351 −1.1284.3372 −0.183 0.4486 4.3372 0.6112 −1.0189 4.3372 −0.0765 0.3256 4.33720.489 −0.9082 4.3372 0.0308 0.2033 4.3372 0.3686 −0.7957 4.3372 0.13890.0817 4.3372 0.2504 −0.6811 4.3372 0.2477 −0.0394 4.3372 0.1346 −0.5644.3372 0.3567 −0.1602 4.3372 0.0214 −0.4444 4.3372 0.4653 −0.2814 4.3372−0.0893 −0.3223 4.3372 0.5734 −0.4031 4.3372 −0.1978 −0.1981 4.33720.6808 −0.5253 4.3372 −0.3045 −0.0721 4.3372 0.7878 −0.648 4.3372−0.4094 0.0557 4.3372 0.8944 −0.7709 4.3372 −0.5124 0.1853 4.3372 1.0008−0.8941 4.3372 −0.6134 0.317 4.3372 1.1036 −1.0132 4.3372 −0.7091 0.44614.3372 1.2029 −1.1281 4.3372 −0.7995 0.5724 4.3372 1.2987 −1.2388 4.3372−0.8846 0.6956 4.3372 1.3912 −1.3454 4.3372 −0.9645 0.8156 4.3372 1.4802−1.4477 4.3372 −1.0393 0.9323 4.3372 1.5658 −1.5458 4.3372 −1.109 1.04574.3372 1.6479 −1.6398 4.3372 −1.1734 1.1558 4.3372 1.7229 −1.7255 4.3372−1.2329 1.2624 4.3372 1.7908 −1.8031 4.3372 −1.285 1.3603 4.3372 1.8515−1.8724 4.3372 −1.33 1.4494 4.3372 1.9051 −1.9337 4.3372 −1.3684 1.52954.3372 1.9514 −1.9869 4.3372 −1.4025 1.6053 4.3372 1.9906 −2.0319 4.3372−1.429 1.6724 4.3372 2.0241 −2.0703 4.3372 −1.4451 1.7255 4.3372 2.0523−2.1026 4.3372 −1.4534 1.769 4.3372 2.0755 −2.1292 4.3372 −1.4549 1.80224.3372 2.0941 −2.1504 4.3372 −1.451 1.8268 4.3372 2.1084 −2.1667 4.3372−1.4455 1.8396 4.3372 2.115 −2.1816 4.3372 −1.4401 1.8466 4.3372 2.1149−2.1954 4.3372 −1.4367 1.8495 4.3372 2.111 −2.2057 4.3372 −1.4349 1.85084.3372 −1.3602 1.8897 5.0916 1.9977 −2.3671 5.0916 −1.3592 1.8902 5.09161.9911 −2.3719 5.0916 −1.3572 1.8912 5.0916 1.9807 −2.3756 5.0916 −1.3531.8925 5.0916 1.9669 −2.3751 5.0916 −1.3441 1.8934 5.0916 1.9525 −2.36725.0916 −1.3305 1.8913 5.0916 1.9363 −2.3521 5.0916 −1.3077 1.8815 5.09161.9153 −2.3326 5.0916 −1.2804 1.8632 5.0916 1.8889 −2.3081 5.0916−1.2473 1.8343 5.0916 1.8569 −2.2784 5.0916 −1.2096 1.7948 5.0916 1.8188−2.2431 5.0916 −1.1641 1.7405 5.0916 1.7741 −2.2018 5.0916 −1.11351.6762 5.0916 1.7214 −2.1529 5.0916 −1.0601 1.6071 5.0916 1.6606 −2.09655.0916 −1.0005 1.5291 5.0916 1.5917 −2.0325 5.0916 −0.9346 1.4421 5.09161.5148 −1.961 5.0916 −0.8622 1.3463 5.0916 1.4298 −1.8819 5.0916 −0.78671.2461 5.0916 1.3369 −1.795 5.0916 −0.7079 1.1415 5.0916 1.2402 −1.70425.0916 −0.6256 1.0327 5.0916 1.1397 −1.6094 5.0916 −0.5399 0.9197 5.09161.0355 −1.5104 5.0916 −0.4505 0.8026 5.0916 0.9278 −1.4072 5.0916−0.3573 0.6815 5.0916 0.8168 −1.2996 5.0916 −0.2603 0.5565 5.0916 0.7027−1.1873 5.0916 −0.1594 0.4277 5.0916 0.586 −1.0701 5.0916 −0.0579 0.29925.0916 0.4707 −0.9515 5.0916 0.0441 0.1712 5.0916 0.3572 −0.8313 5.09160.1468 0.0437 5.0916 0.2458 −0.7093 5.0916 0.25 −0.0834 5.0916 0.1366−0.5853 5.0916 0.3532 −0.2104 5.0916 0.0298 −0.4592 5.0916 0.4559−0.3379 5.0916 −0.0747 −0.3311 5.0916 0.558 −0.4658 5.0916 −0.1774−0.2013 5.0916 0.6593 −0.5944 5.0916 −0.2786 −0.0701 5.0916 0.7601−0.7234 5.0916 −0.3781 0.0625 5.0916 0.8605 −0.8527 5.0916 −0.47590.1966 5.0916 0.9606 −0.9822 5.0916 −0.5718 0.3324 5.0916 1.0573 −1.10755.0916 −0.6626 0.4652 5.0916 1.1507 −1.2284 5.0916 −0.7484 0.5947 5.09161.2408 −1.345 5.0916 −0.8292 0.7208 5.0916 1.3277 −1.4571 5.0916 −0.90520.8435 5.0916 1.4113 −1.5649 5.0916 −0.9764 0.9625 5.0916 1.4917 −1.66835.0916 −1.0429 1.0779 5.0916 1.5688 −1.7673 5.0916 −1.1046 1.1896 5.09161.6392 −1.8577 5.0916 −1.1619 1.2974 5.0916 1.7031 −1.9394 5.0916−1.2121 1.3964 5.0916 1.7602 −2.0125 5.0916 −1.2557 1.4862 5.0916 1.8105−2.077 5.0916 −1.2928 1.5669 5.0916 1.8541 −2.133 5.0916 −1.3262 1.64315.0916 1.891 −2.1804 5.0916 −1.3523 1.7104 5.0916 1.9225 −2.2208 5.0916−1.3686 1.7634 5.0916 1.9491 −2.2548 5.0916 −1.3774 1.8069 5.0916 1.971−2.2826 5.0916 −1.3796 1.84 5.0916 1.9886 −2.3049 5.0916 −1.3766 1.86485.0916 2.0021 −2.322 5.0916 −1.3716 1.8777 5.0916 2.0082 −2.3371 5.0916−1.3663 1.8849 5.0916 2.0074 −2.3507 5.0916 −1.363 1.8878 5.0916 2.003−2.3607 5.0916 −1.3611 1.8891 5.0916 −1.3138 1.9166 5.846 1.9298 −2.47235.846 −1.3128 1.9171 5.846 1.923 −2.477 5.846 −1.3108 1.918 5.846 1.9124−2.4802 5.846 −1.3064 1.9191 5.846 1.8986 −2.4789 5.846 −1.2975 1.91925.846 1.8847 −2.47 5.846 −1.2841 1.9157 5.846 1.869 −2.4543 5.846−1.2621 1.9039 5.846 1.8487 −2.4338 5.846 −1.236 1.8837 5.846 1.8232−2.4083 5.846 −1.2044 1.8528 5.846 1.7922 −2.3772 5.846 −1.1686 1.81135.846 1.7554 −2.3403 5.846 −1.1251 1.7548 5.846 1.7123 −2.297 5.846−1.0766 1.6882 5.846 1.6614 −2.2459 5.846 −1.0254 1.6169 5.846 1.6027−2.1868 5.846 −0.9682 1.5363 5.846 1.5363 −2.1197 5.846 −0.905 1.44665.846 1.4622 −2.0447 5.846 −0.8355 1.3478 5.846 1.3804 −1.9617 5.846−0.763 1.2445 5.846 1.2911 −1.8705 5.846 −0.6872 1.1367 5.846 1.1981−1.7751 5.846 −0.6082 1.0246 5.846 1.1016 −1.6755 5.846 −0.5257 0.90815.846 1.0017 −1.5714 5.846 −0.4397 0.7874 5.846 0.8985 −1.463 5.846−0.3501 0.6625 5.846 0.7922 −1.3498 5.846 −0.2568 0.5336 5.846 0.6831−1.2319 5.846 −0.1597 0.4005 5.846 0.5715 −1.1088 5.846 −0.0621 0.26795.846 0.4613 −0.9846 5.846 0.0359 0.1356 5.846 0.3529 −0.8588 5.8460.1346 0.0038 5.846 0.2465 −0.7315 5.846 0.2338 −0.1277 5.846 0.1422−0.6023 5.846 0.3332 −0.259 5.846 0.04 −0.4714 5.846 0.4323 −0.39045.846 −0.0602 −0.3389 5.846 0.531 −0.5223 5.846 −0.1588 −0.205 5.8460.629 −0.6546 5.846 −0.2559 −0.07 5.846 0.7265 −0.7873 5.846 −0.35160.0663 5.846 0.8236 −0.9203 5.846 −0.4458 0.2038 5.846 0.9205 −1.05345.846 −0.5382 0.3428 5.846 1.0141 −1.1821 5.846 −0.6257 0.4783 5.8461.1046 −1.3064 5.846 −0.7085 0.6102 5.846 1.1919 −1.4261 5.846 −0.78670.7384 5.846 1.2762 −1.5412 5.846 −0.8603 0.8629 5.846 1.3574 −1.65195.846 −0.9295 0.9836 5.846 1.4355 −1.7579 5.846 −0.9942 1.1003 5.8461.5106 −1.8594 5.846 −1.0546 1.2132 5.846 1.5792 −1.952 5.846 −1.11071.3219 5.846 1.6414 −2.0357 5.846 −1.1602 1.4216 5.846 1.6972 −2.11065.846 −1.2034 1.512 5.846 1.7464 −2.1766 5.846 −1.2404 1.5929 5.8461.789 −2.2338 5.846 −1.2738 1.6694 5.846 1.8251 −2.2822 5.846 −1.30041.7366 5.846 1.856 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−0.9017 9.6184 0.2142 −0.3184 9.61840.1479 −0.7646 9.6184 0.307 −0.4552 9.6184 0.0543 −0.6262 9.6184 0.4005−0.5916 9.6184 −0.0379 −0.4868 9.6184 0.4942 −0.7278 9.6184 −0.1287−0.3463 9.6184 0.5881 −0.8639 9.6184 −0.2181 −0.2048 9.6184 0.6819 −19.6184 −0.3059 −0.0625 9.6184 0.7757 −1.1361 9.6184 −0.3922 0.08099.6184 0.8696 −1.2722 9.6184 −0.477 0.2251 9.6184 0.9602 −1.4038 9.6184−0.5575 0.3654 9.6184 1.0477 −1.5309 9.6184 −0.6338 0.5017 9.6184 1.1322−1.6533 9.6184 −0.7059 0.6339 9.6184 1.2139 −1.771 9.6184 −0.7739 0.7629.6184 1.2928 −1.884 9.6184 −0.8378 0.8859 9.6184 1.3688 −1.9922 9.6184−0.8978 1.0056 9.6184 1.442 −2.0957 9.6184 −0.9538 1.121 9.6184 1.5093−2.1899 9.6184 −1.0059 1.2322 9.6184 1.5703 −2.2749 9.6184 −1.052 1.33389.6184 1.6252 −2.3508 9.6184 −1.0922 1.4258 9.6184 1.6739 −2.4176 9.6184−1.1268 1.508 9.6184 1.7163 −2.4754 9.6184 −1.1581 1.5857 9.6184 1.7523−2.5241 9.6184 −1.1835 1.6536 9.6184 1.7833 −2.5657 9.6184 −1.20071.7066 9.6184 1.8093 −2.6005 9.6184 −1.2117 1.7499 9.6184 1.8308 −2.62929.6184 −1.2171 1.7829 9.6184 1.8481 −2.6521 9.6184 −1.218 1.808 9.61841.8613 −2.6697 9.6184 −1.2159 1.8217 9.6184 1.8695 −2.6839 9.6184−1.2124 1.8299 9.6184 1.8701 −2.6975 9.6184 −1.2094 1.8332 9.6184 1.8661−2.7077 9.6184 −1.2076 1.8345 9.6184 −1.148 1.8547 10.3728 1.7725−2.7568 10.3728 −1.147 1.8551 10.3728 1.7656 −2.7615 10.3728 −1.14481.8556 10.3728 1.7548 −2.764 10.3728 −1.1404 1.8556 10.3728 1.7414−2.7608 10.3728 −1.132 1.8527 10.3728 1.7289 −2.7498 10.3728 −1.12041.8452 10.3728 1.7132 −2.7341 10.3728 −1.1023 1.8283 10.3728 1.6929−2.7137 10.3728 −1.081 1.8031 10.3728 1.6675 −2.6881 10.3728 −1.05531.7677 10.3728 1.6367 −2.6568 10.3728 −1.0255 1.7218 10.3728 1.6002−2.6195 10.3728 −0.9886 1.6609 10.3728 1.5578 −2.5757 10.3728 −0.94671.5902 10.3728 1.5079 −2.5236 10.3728 −0.9022 1.5147 10.3728 1.4506−2.4632 10.3728 −0.8521 1.4297 10.3728 1.3862 −2.3943 10.3728 −0.79651.3352 10.3728 1.3149 −2.3167 10.3728 −0.7354 1.2313 10.3728 1.2368−2.2302 10.3728 −0.6714 1.1227 10.3728 1.1522 −2.1347 10.3728 −0.60451.0094 10.3728 1.0651 −2.0342 10.3728 −0.5347 0.8916 10.3728 0.9756−1.9286 10.3728 −0.4618 0.7691 10.3728 0.8838 −1.8179 10.3728 −0.38580.6422 10.3728 0.79 −1.7018 10.3728 −0.3067 0.5107 10.3728 0.6942−1.5802 10.3728 −0.2244 0.3747 10.3728 0.597 −1.4529 10.3728 −0.1390.2343 10.3728 0.4985 −1.3196 10.3728 −0.0532 0.0941 10.3728 0.4024−1.1846 10.3728 0.033 −0.046 10.3728 0.3086 −1.0478 10.3728 0.1194−0.1858 10.3728 0.2172 −0.9093 10.3728 0.2063 −0.3254 10.3728 0.1278−0.7694 10.3728 0.2936 −0.4647 10.3728 0.04 −0.6282 10.3728 0.3817−0.6035 10.3728 −0.0465 −0.4861 10.3728 0.4702 −0.742 10.3728 −0.1318−0.3432 10.3728 0.559 −0.8804 10.3728 −0.2159 −0.1996 10.3728 0.648−1.0186 10.3728 −0.2987 −0.0553 10.3728 0.7372 −1.1567 10.3728 −0.38020.0897 10.3728 0.8263 −1.2948 10.3728 −0.4603 0.2355 10.3728 0.9123−1.4285 10.3728 −0.5365 0.3773 10.3728 0.9953 −1.5575 10.3728 −0.60850.5148 10.3728 1.0755 −1.6819 10.3728 −0.6767 0.6482 10.3728 1.1528−1.8015 10.3728 −0.7409 0.7774 10.3728 1.2276 −1.9163 10.3728 −0.80120.9022 10.3728 1.2997 −2.0263 10.3728 −0.8577 1.0228 10.3728 1.3693−2.1314 10.3728 −0.9106 1.1389 10.3728 1.4333 −2.227 10.3728 −0.95981.2506 10.3728 1.4916 −2.3133 10.3728 −1.0032 1.3527 10.3728 1.5441−2.3902 10.3728 −1.0411 1.4451 10.3728 1.5908 −2.4579 10.3728 −1.07361.5277 10.3728 1.6316 −2.5163 10.3728 −1.1029 1.6056 10.3728 1.6663−2.5656 10.3728 −1.1267 1.6736 10.3728 1.6961 −2.6076 10.3728 −1.14291.7267 10.3728 1.7214 −2.6427 10.3728 −1.1533 1.7698 10.3728 1.7422−2.6716 10.3728 −1.1583 1.8027 10.3728 1.7589 −2.6947 10.3728 −1.15911.8277 10.3728 1.7718 −2.7125 10.3728 −1.1571 1.8414 10.3728 1.7803−2.7265 10.3728 −1.1537 1.8495 10.3728 1.7814 −2.7401 10.3728 −1.15081.8529 10.3728 1.7777 −2.7504 10.3728 −1.149 1.8542 10.3728 −1.07471.9097 10.7501 1.6857 −2.7752 10.7501 −1.0737 1.9101 10.7501 1.6788−2.7799 10.7501 −1.0715 1.9105 10.7501 1.668 −2.7823 10.7501 −1.06711.9103 10.7501 1.6548 −2.7787 10.7501 −1.0589 1.9072 10.7501 1.6425−2.7675 10.7501 −1.0477 1.8991 10.7501 1.6269 −2.7518 10.7501 −1.03041.8816 10.7501 1.6066 −2.7314 10.7501 −1.0102 1.8558 10.7501 1.5813−2.7059 10.7501 −0.9859 1.8195 10.7501 1.5507 −2.6746 10.7501 −0.95791.7728 10.7501 1.5146 −2.6372 10.7501 −0.9231 1.711 10.7501 1.4726−2.5933 10.7501 −0.8835 1.6393 10.7501 1.4232 −2.5409 10.7501 −0.84151.5627 10.7501 1.3668 −2.4801 10.7501 −0.7943 1.4766 10.7501 1.3036−2.4106 10.7501 −0.7419 1.3808 10.7501 1.2337 −2.332 10.7501 −0.68421.2755 10.7501 1.1576 −2.2444 10.7501 −0.6238 1.1654 10.7501 1.0755−2.1474 10.7501 −0.5608 1.0506 10.7501 0.9913 −2.0452 10.7501 −0.4950.931 10.7501 0.9051 −1.9377 10.7501 −0.4266 0.8067 10.7501 0.8172−1.8246 10.7501 −0.3553 0.6777 10.7501 0.7278 −1.7059 10.7501 −0.28130.544 10.7501 0.637 −1.5813 10.7501 −0.2045 0.4056 10.7501 0.5452−1.4507 10.7501 −0.1246 0.2626 10.7501 0.4527 −1.3139 10.7501 −0.04450.1198 10.7501 0.3628 −1.1752 10.7501 0.036 −0.0227 10.7501 0.2753−1.0347 10.7501 0.1168 −0.1652 10.7501 0.1899 −0.8928 10.7501 0.1979−0.3074 10.7501 0.1064 −0.7495 10.7501 0.2796 −0.4493 10.7501 0.0245−0.6053 10.7501 0.362 −0.5908 10.7501 −0.0562 −0.4604 10.7501 0.445−0.732 10.7501 −0.1356 −0.3148 10.7501 0.5285 −0.8729 10.7501 −0.2138−0.1686 10.7501 0.6122 −1.0137 10.7501 −0.2908 −0.0217 10.7501 0.6961−1.1543 10.7501 −0.3666 0.1259 10.7501 0.78 −1.295 10.7501 −0.441 0.274110.7501 0.8611 −1.431 10.7501 −0.5117 0.418 10.7501 0.9394 −1.562210.7501 −0.5786 0.5576 10.7501 1.0152 −1.6886 10.7501 −0.6419 0.692810.7501 1.0886 −1.8101 10.7501 −0.7016 0.8236 10.7501 1.1596 −1.926710.7501 −0.7576 0.95 10.7501 1.2284 −2.0382 10.7501 −0.8101 1.071810.7501 1.295 −2.1446 10.7501 −0.8592 1.1892 10.7501 1.3564 −2.241510.7501 −0.9046 1.302 10.7501 1.4125 −2.3287 10.7501 −0.9447 1.405110.7501 1.4632 −2.4064 10.7501 −0.9795 1.4983 10.7501 1.5084 −2.474710.7501 −1.0093 1.5816 10.7501 1.5479 −2.5337 10.7501 −1.036 1.660110.7501 1.5816 −2.5834 10.7501 −1.0578 1.7286 10.7501 1.6107 −2.625710.7501 −1.0725 1.7819 10.7501 1.6353 −2.6611 10.7501 −1.0817 1.825210.7501 1.6557 −2.6902 10.7501 −1.086 1.8581 10.7501 1.672 −2.713410.7501 −1.0863 1.883 10.7501 1.6846 −2.7312 10.7501 −1.084 1.896610.7501 1.6931 −2.7451 10.7501 −1.0805 1.9047 10.7501 1.6944 −2.758610.7501 −1.0776 1.908 10.7501 1.6908 −2.7688 10.7501 −1.0757 1.909210.7501 −0.9644 2.0022 11.1274 1.5913 −2.788 11.1274 −0.9633 2.002611.1274 1.5844 −2.7927 11.1274 −0.9611 2.0029 11.1274 1.5735 −2.79511.1274 −0.9567 2.0024 11.1274 1.5604 −2.7908 11.1274 −0.9488 1.998611.1274 1.5482 −2.7794 11.1274 −0.9382 1.9898 11.1274 1.5324 −2.763811.1274 −0.9222 1.9711 11.1274 1.512 −2.7434 11.1274 −0.9037 1.944111.1274 1.4867 −2.7179 11.1274 −0.8818 1.9065 11.1274 1.456 −2.686611.1274 −0.8568 1.8581 11.1274 1.4198 −2.6491 11.1274 −0.8257 1.794511.1274 1.3779 −2.6048 11.1274 −0.7901 1.7208 11.1274 1.3288 −2.55211.1274 −0.7524 1.6422 11.1274 1.2729 −2.4905 11.1274 −0.7099 1.553811.1274 1.2104 −2.4201 11.1274 −0.6627 1.4556 11.1274 1.1417 −2.340311.1274 −0.6106 1.3476 11.1274 1.067 −2.251 11.1274 −0.556 1.234711.1274 0.9871 −2.1521 11.1274 −0.4989 1.117 11.1274 0.9056 −2.047611.1274 −0.4393 0.9945 11.1274 0.8228 −1.9374 11.1274 −0.3772 0.867111.1274 0.739 −1.8213 11.1274 −0.3127 0.7348 11.1274 0.6543 −1.699211.1274 −0.2457 0.5977 11.1274 0.5691 −1.5709 11.1274 −0.176 0.455911.1274 0.4836 −1.4362 11.1274 −0.1035 0.3093 11.1274 0.3982 −1.294911.1274 −0.0305 0.163 11.1274 0.3157 −1.1518 11.1274 0.0429 0.016911.1274 0.2357 −1.007 11.1274 0.1168 −0.129 11.1274 0.1578 −0.860911.1274 0.1911 −0.2746 11.1274 0.0815 −0.7137 11.1274 0.266 −0.419911.1274 0.0066 −0.5656 11.1274 0.3416 −0.5649 11.1274 −0.0669 −0.41711.1274 0.4178 −0.7095 11.1274 −0.139 −0.2676 11.1274 0.4948 −0.853811.1274 −0.2099 −0.1177 11.1274 0.5723 −0.9977 11.1274 −0.2794 0.032911.1274 0.6501 −1.1415 11.1274 −0.3475 0.1841 11.1274 0.728 −1.285311.1274 −0.4142 0.336 11.1274 0.8034 −1.4242 11.1274 −0.4772 0.483511.1274 0.8765 −1.5581 11.1274 −0.5368 0.6264 11.1274 0.9475 −1.68711.1274 −0.593 0.7647 11.1274 1.0166 −1.8107 11.1274 −0.646 0.898311.1274 1.0837 −1.9293 11.1274 −0.6955 1.0273 11.1274 1.1489 −2.042711.1274 −0.7418 1.1517 11.1274 1.2124 −2.1508 11.1274 −0.7849 1.271411.1274 1.2712 −2.249 11.1274 −0.8245 1.3864 11.1274 1.3251 −2.337411.1274 −0.8592 1.4914 11.1274 1.3741 −2.4161 11.1274 −0.8892 1.586311.1274 1.4179 −2.4851 11.1274 −0.9147 1.6711 11.1274 1.4563 −2.544711.1274 −0.9373 1.7509 11.1274 1.4891 −2.5948 11.1274 −0.9556 1.820411.1274 1.5175 −2.6375 11.1274 −0.9677 1.8743 11.1274 1.5415 −2.673211.1274 −0.9749 1.918 11.1274 1.5614 −2.7026 11.1274 −0.9777 1.95111.1274 1.5774 −2.726 11.1274 −0.9768 1.9759 11.1274 1.5897 −2.74411.1274 −0.9741 1.9894 11.1274 1.5983 −2.7578 11.1274 −0.9703 1.997411.1274 1.5999 −2.7713 11.1274 −0.9673 2.0006 11.1274 1.5964 −2.781611.1274 −0.9654 2.0018 11.1274 −0.8318 2.1118 11.5045 1.4961 −2.799211.5045 −0.8307 2.1121 11.5045 1.4891 −2.804 11.5045 −0.8285 2.112211.5045 1.478 −2.8061 11.5045 −0.8242 2.1113 11.5045 1.465 −2.801411.5045 −0.8166 2.1068 11.5045 1.4528 −2.7899 11.5045 −0.807 2.097111.5045 1.4369 −2.7742 11.5045 −0.7926 2.077 11.5045 1.4163 −2.753811.5045 −0.7766 2.0485 11.5045 1.3907 −2.728 11.5045 −0.758 2.009211.5045 1.3599 −2.6965 11.5045 −0.7369 1.9588 11.5045 1.3235 −2.658711.5045 −0.7109 1.8928 11.5045 1.2816 −2.6139 11.5045 −0.681 1.816611.5045 1.2326 −2.5604 11.5045 −0.649 1.7354 11.5045 1.1769 −2.497911.5045 −0.6128 1.6441 11.5045 1.115 −2.4261 11.5045 −0.5723 1.542811.5045 1.0471 −2.3447 11.5045 −0.5274 1.4314 11.5045 0.9738 −2.253311.5045 −0.4802 1.3152 11.5045 0.8958 −2.1517 11.5045 −0.4305 1.19411.5045 0.817 −2.0443 11.5045 −0.3784 1.0679 11.5045 0.7376 −1.930811.5045 −0.3237 0.937 11.5045 0.658 −1.8111 11.5045 −0.2665 0.801311.5045 0.5784 −1.6851 11.5045 −0.2066 0.6607 11.5045 0.4991 −1.552511.5045 −0.1441 0.5153 11.5045 0.4204 −1.4133 11.5045 −0.0789 0.365211.5045 0.3426 −1.2672 11.5045 −0.0131 0.2153 11.5045 0.2682 −1.119211.5045 0.0533 0.0657 11.5045 0.1963 −0.9697 11.5045 0.1201 −0.083711.5045 0.1261 −0.8192 11.5045 0.1874 −0.2329 11.5045 0.0575 −0.667911.5045 0.2551 −0.3819 11.5045 −0.0097 −0.5157 11.5045 0.3234 −0.530711.5045 −0.0756 −0.3629 11.5045 0.3923 −0.6791 11.5045 −0.1401 −0.209611.5045 0.4622 −0.8271 11.5045 −0.2033 −0.0556 11.5045 0.533 −0.974711.5045 −0.2651 0.0988 11.5045 0.6045 −1.122 11.5045 −0.3253 0.253911.5045 0.6761 −1.2692 11.5045 −0.3839 0.4097 11.5045 0.7455 −1.411411.5045 −0.439 0.5608 11.5045 0.8131 −1.5484 11.5045 −0.4906 0.707311.5045 0.879 −1.6802 11.5045 −0.5389 0.849 11.5045 0.9434 −1.806611.5045 −0.5839 0.9861 11.5045 1.0065 −1.9276 11.5045 −0.6256 1.118311.5045 1.0681 −2.0431 11.5045 −0.6641 1.2458 11.5045 1.1283 −2.153311.5045 −0.6997 1.3683 11.5045 1.1845 −2.2532 11.5045 −0.7319 1.48611.5045 1.2363 −2.343 11.5045 −0.7598 1.5933 11.5045 1.2836 −2.422811.5045 −0.7836 1.6903 11.5045 1.326 −2.4928 11.5045 −0.8035 1.776811.5045 1.3634 −2.5532 11.5045 −0.8208 1.8582 11.5045 1.3954 −2.60411.5045 −0.8345 1.929 11.5045 1.4231 −2.6472 11.5045 −0.8431 1.983811.5045 1.4466 −2.6833 11.5045 −0.8474 2.028 11.5045 1.4661 −2.71311.5045 −0.8481 2.0612 11.5045 1.4818 −2.7366 11.5045 −0.8457 2.086111.5045 1.4939 −2.7548 11.5045 −0.8422 2.0995 11.5045 1.5026 −2.768611.5045 −0.838 2.1073 11.5045 1.5045 −2.7822 11.5045 −0.8348 2.110311.5045 1.5012 −2.7927 11.5045 −0.8329 2.1114 11.5045 −0.6928 2.225511.8818 1.4012 −2.8107 11.8818 −0.6917 2.2256 11.8818 1.3942 −2.815511.8818 −0.6895 2.2256 11.8818 1.3831 −2.8178 11.8818 −0.6853 2.224211.8818 1.3699 −2.8135 11.8818 −0.6783 2.2188 11.8818 1.3576 −2.801911.8818 −0.6696 2.2081 11.8818 1.3416 −2.7861 11.8818 −0.6573 2.186711.8818 1.321 −2.7654 11.8818 −0.644 2.1567 11.8818 1.2953 −2.739311.8818 −0.6289 2.1156 11.8818 1.2644 −2.7075 11.8818 −0.6123 2.063411.8818 1.2281 −2.6691 11.8818 −0.5919 1.9951 11.8818 1.1862 −2.623711.8818 −0.5682 1.9164 11.8818 1.1375 −2.5693 11.8818 −0.5425 1.832611.8818 1.0823 −2.5058 11.8818 −0.5131 1.7384 11.8818 1.021 −2.432611.8818 −0.4798 1.634 11.8818 0.9541 −2.3495 11.8818 −0.4426 1.519311.8818 0.8822 −2.2559 11.8818 −0.4031 1.3997 11.8818 0.8062 −2.151911.8818 −0.3613 1.275 11.8818 0.73 −2.0417 11.8818 −0.3169 1.145411.8818 0.6538 −1.9252 11.8818 −0.2699 1.0109 11.8818 0.5782 −1.802111.8818 −0.22 0.8716 11.8818 0.5033 −1.6722 11.8818 −0.1675 0.727511.8818 0.4297 −1.5355 11.8818 −0.1122 0.5785 11.8818 0.3574 −1.391711.8818 −0.0542 0.4247 11.8818 0.287 −1.2406 11.8818 0.0044 0.271111.8818 0.2204 −1.0875 11.8818 0.0636 0.1178 11.8818 0.1566 −0.932811.8818 0.1232 −0.0354 11.8818 0.0944 −0.7773 11.8818 0.1834 −0.188411.8818 0.0337 −0.6211 11.8818 0.2439 −0.3412 11.8818 −0.0257 −0.464411.8818 0.3048 −0.4938 11.8818 −0.0836 −0.3072 11.8818 0.3665 −0.646211.8818 −0.1403 −0.1496 11.8818 0.4293 −0.7982 11.8818 −0.1957 0.008611.8818 0.4934 −0.9495 11.8818 −0.2496 0.1672 11.8818 0.5582 −1.100611.8818 −0.302 0.3264 11.8818 0.6234 −1.2515 11.8818 −0.3526 0.486211.8818 0.6868 −1.3972 11.8818 −0.3997 0.6411 11.8818 0.7488 −1.537511.8818 −0.4433 0.7913 11.8818 0.8096 −1.6724 11.8818 −0.4835 0.936711.8818 0.8694 −1.8017 11.8818 −0.5204 1.0772 11.8818 0.9284 −1.925411.8818 −0.5538 1.2128 11.8818 0.9864 −2.0434 11.8818 −0.5841 1.343411.8818 1.0435 −2.1558 11.8818 −0.6117 1.4689 11.8818 1.0971 −2.257611.8818 −0.6361 1.5894 11.8818 1.1469 −2.3491 11.8818 −0.6568 1.699211.8818 1.1927 −2.4302 11.8818 −0.674 1.7983 11.8818 1.234 −2.501311.8818 −0.6878 1.8866 11.8818 1.2705 −2.5625 11.8818 −0.6995 1.969611.8818 1.302 −2.614 11.8818 −0.7081 2.0417 11.8818 1.3293 −2.657611.8818 −0.7128 2.0974 11.8818 1.3526 −2.6942 11.8818 −0.714 2.142111.8818 1.372 −2.7241 11.8818 −0.7123 2.1756 11.8818 1.3875 −2.747911.8818 −0.7083 2.2004 11.8818 1.3996 −2.7662 11.8818 −0.7039 2.213611.8818 1.4081 −2.7803 11.8818 −0.6993 2.2213 11.8818 1.4096 −2.793811.8818 −0.6959 2.2242 11.8818 1.4062 −2.8042 11.8818 −0.6939 2.225111.8818

It will be appreciated that the airfoil 105 disclosed in the abovescalable TABLE 1 may be non-scaled, scaled up, or scaled downgeometrically for use in other or similar turbine/compressor designs.Consequently, the coordinate values set forth in TABLE 1 may benon-scaled, scaled upwardly, or scaled downwardly such that the generalairfoil profile shape remains unchanged. A scaled version of thecoordinates in TABLE 1 would be represented by X, Y, and Z coordinatevalues of TABLE 1, with the X, Y, and Z non-dimensional coordinatevalues converted to inches or millimeters (or any suitable dimensionalsystem), multiplied or divided by a constant number. The constant numbermay be a fraction, decimal fraction, integer or mixed number.

The disclosed airfoil shape thus may increase reliability and may bespecific to the machine conditions and specifications. The airfoil shapeprovides a unique profile to achieve (1) interaction between otherstages in the compressor; (2) aerodynamic efficiency; and (3) normalizedaerodynamic and mechanical blade or vane loadings. The disclosed loci ofpoints allow the gas turbine and the compressor or any other suitableturbine/compressor to run in an efficient, safe and smooth manner. Asalso noted, any scale of the disclosed airfoil may be adopted as long as(1) interaction between other stages in the compressor; (2) aerodynamicefficiency; and (3) normalized aerodynamic and mechanical blade loadingsare maintained in the scaled compressor.

The airfoil 105 described herein thus improves overall compressorefficiency. Specifically, the airfoil 105 may provide the desiredturbine/compressor efficiency lapse rate (ISO, hot, cold, part load,etc.). The airfoil 105 also meets all aeromechanics, loading and stressrequirements.

It should be apparent that the foregoing relates only to certainembodiments of the present application and the resultant patent.Numerous changes and modifications may be made herein by one of ordinaryskill in the art without departing from the general spirit and scope ofthe invention as defined by the following claims and the equivalentsthereof.

We claim:
 1. An article of manufacture having a nominal airfoil profilesubstantially in accordance with Cartesian coordinate values of X, Y,and Z set forth in scalable TABLE 1 relative to an origin at a mid-pointof a suction side of a base of an airfoil, wherein the Cartesiancoordinate values of X, Y, and Z are non-dimensional values convertibleto dimensional distances by multiplying the Cartesian coordinate valuesof X, Y, and Z by a number, and wherein X and Y are coordinates which,when connected by continuing arcs, define airfoil profile sections ateach Z height, the airfoil profile sections at each Z height beingjoined with one another to form a complete airfoil shape.
 2. The articleof manufacture according to claim 1, wherein the article of manufacturecomprises an airfoil.
 3. The article of manufacture according to claim1, wherein the article of manufacture comprises a rotor blade configuredfor use with a compressor.
 4. The article of manufacture according toclaim 1, wherein the airfoil shape lies in an envelope within +/−5% of achord length in a direction normal to an airfoil surface location. 5.The article of manufacture according to claim 1, wherein the number,used to convert the non-dimensional values to dimensional distances, isat least one of a fraction, a decimal fraction, an integer, and a mixednumber.
 6. The article of manufacture according to claim 1, wherein aheight of the article of manufacture is about 1 inch to about 20 inches.7. An article of manufacture having a suction-side nominal airfoilprofile substantially in accordance with suction-side Cartesiancoordinate values of X, Y, and Z set forth in scalable TABLE 1 relativeto an origin at a mid-point of a suction side of a base of an airfoil,wherein the Cartesian coordinate values of X, Y, and Z arenon-dimensional values convertible to dimensional distances bymultiplying the Cartesian coordinate values of X, Y, and Z by a number,and wherein X and Y are coordinates which, when connected by continuingarcs, define airfoil profile sections at each Z height, the airfoilprofile sections at each Z height being joined with one another to forma complete suction-side airfoil shape, the X, Y, and Z coordinate valuesbeing scalable as a function of the number to provide at least one of anon-scaled, scaled-up, and scaled-down airfoil profile.
 8. The articleof manufacture according to claim 7, wherein the article of manufacturecomprises an airfoil.
 9. The article of manufacture according to claim7, wherein the article of manufacture comprises a rotor blade configuredfor use with a compressor.
 10. The article of manufacture according toclaim 7, wherein the suction-side airfoil shape lies in an envelopewithin +/−5% of a chord length in a direction normal to a suction-sideairfoil surface location.
 11. The article of manufacture according toclaim 7, wherein the number, used to convert the non-dimensional valuesto dimensional distances, is at least one of a fraction, a decimalfraction, an integer, and a mixed number.
 12. The article of manufactureaccording to claim 7, wherein a height of the article of manufacture isabout 1 inch to about 20 inches.
 13. The article of manufactureaccording to claim 7, further comprising the article of manufacturehaving a pressure-side nominal airfoil profile substantially inaccordance with pressure-side Cartesian coordinate values of X, Y, and Zset forth in the scalable table, wherein the Cartesian coordinate valuesof X, Y, and Z are non-dimensional values convertible to dimensionaldistances by multiplying the Cartesian coordinate values of X, Y, and Zby a number, and wherein X and Y are coordinates which, when connectedby continuing arcs, define airfoil profile sections at each Z height,the airfoil profile sections at each Z height being joined with oneanother to form a complete pressure-side airfoil shape, the X, Y, and Zvalues being scalable as a function of the number to provide at leastone of a non-scaled, scaled-up, and scaled-down airfoil.
 14. Acompressor comprising a plurality of rotor blades, each of the rotorblades including an airfoil having a suction-side airfoil shape, theairfoil having a nominal profile substantially in accordance withsuction-side Cartesian coordinate values of X, Y, and Z set forth inscalable TABLE 1 relative to an origin at a mid-point of a suction sideof a base of an airfoil, wherein the Cartesian coordinate values of X,Y, and Z are non-dimensional values convertible to dimensional distancesby multiplying the Cartesian coordinate values of X, Y, and Z by anumber, and wherein X and Y are coordinates which, when connected bycontinuing arcs, define airfoil profile sections at each Z height, theairfoil profile sections at each Z height being joined with one anotherto form a complete suction-side airfoil shape.
 15. The compressoraccording to claim 14, wherein the suction-side airfoil shape lies in anenvelope within +/−5% of a chord length in a direction normal to asuction-side airfoil surface location.
 16. The compressor according toclaim 14, wherein the number, used to convert the non-dimensional valuesto dimensional distances, is at least one of a fraction, a decimalfraction, an integer, and a mixed number.
 17. The compressor accordingto claim 14, wherein a height of each rotor blade is about 1 inch toabout 20 inches.
 18. The compressor according to claim 14, furthercomprising each of the plurality of rotor blades having a pressure-sidenominal airfoil profile substantially in accordance with pressure-sideCartesian coordinate values of X, Y, and Z set forth in the scalabletable, wherein the Cartesian coordinate values of X, Y, and Z arenon-dimensional values convertible to dimensional distances bymultiplying the Cartesian coordinate values of X, Y, and Z by thenumber, and wherein X and Y are coordinates which, when connected bycontinuing arcs, define airfoil profile sections at each Z height, theairfoil profile sections at each Z height being joined with one anotherto form a complete pressure-side airfoil shape.
 19. The compressoraccording to claim 18, wherein the pressure-side airfoil shape lies inan envelope within +/−5% of a chord length in a direction normal to apressure-side airfoil surface location.
 20. The compressor according toclaim 18, wherein the number, used to convert the non-dimensional valuesto dimensional distances, is at least one of a fraction, a decimalfraction, an integer, and a mixed number.